Задачи по аналитической геометрии. Микенберг М.А. - 66 стр.

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AP
¡
k
k+1
,
1
k+1
¢
P B
¡
1
k+1
,
1
k+1
¢
AB(2; 1)
BC(1; 1)
AC(1; 2)
AM(1; 1)
~c = ~a 2
~
b
~m = 2~n ~p
AD =
|AC|
|AC|+|AB|
AB +
|AB|
|AC|+|AB|
AC
(0, 5; 1, 5) (4; 5)
5
143
9
1, 5
5
π
4
cos(ϕ) = 0, 8
α = 40
α =
π
2
cos(β) =
2
5
5
cos(γ) =
5
5
|AM| = 6 |AD| =
12
5
5
cos(ϕ) =
5
21
(24; 32; 30)
(3; 3; 3)
6
5
π
2
π
3
cos(ϕ) =
q
2
3
(2; 4) (1; 1) (2; 2)
(1; 3) (4; 3)
(1; 3) (3; 1) (5; 7)
(2; 1) (3; 1)
x = x
0
+ 3 y = y
0
+ 4
x =
1
2
x
0
3
2
y
0
y =
3
2
x
0
+
1
2
y
0
x =
2
2
x
0
+
2
2
y
0
y =
2
2
x
0
+
2
2
y
0
60
45
x =
15
17
x
0
8
17
y
0
+ 9 y =
8
17
x
0
15
17
y
0
3
(1; 9) (1 +
3; 1)
(2; 0) (1;
π
2
)
4 13, 5
1
,
4 3
2